Residue (Complex Analysis)
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In mathematics, more specifically complex analysis, the residue is a complex number proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities. (More generally, residues can be calculated for any function f : C ∖ { a k } k → C {\displaystyle f\colon \mathbb {C} \setminus \{a_{k}\}{k}\rightarrow \mathbb {C} } that is holomorphic except at the discrete points { _a k } k , even if some of them are essential singularities.) Residues can be computed quite easily and, once known, allow the determination of general contour integrals via the residue theorem.
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- Slug: residue-complex-analysis
- Total Views: 101
- Added: Jul 20, 2024